Calculate Spring Constant and Force for Compression

AI Thread Summary
To calculate the spring constant, use the formula for elastic potential energy, E = (1/2)kx², where E is 25J and x is 0.075m. Rearranging the equation allows for the determination of the spring constant k. For the force required to compress the spring, apply Hooke's Law, F = kx, using the spring constant obtained in the first part. This approach provides a clear method to find both the spring constant and the force for compression. Understanding these calculations is essential for applications involving springs in physics.
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A spring constant stores 25J of energy when compressed by 7.5cm
a) Find the spring constant
b) Find the force to compress the distance
 
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For part (a), you'll need to know the equations to find the spring constant based off of the energy [E] that is exerted to move it the distance [x] it moves, which is also equal to its amplitude [A].

For (b), the force exerted can be found by using the spring constant value you found in (a) and muliplying it by the distance it is compressed.
F_{x} = - kx
 

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